# How do you solve sqrt(x+1)+2=4 and check the solution?

Jun 23, 2017

x = 3

#### Explanation:

1. Subtract 2 from both sides to isolate the square root.

$\sqrt{x + 1} + 2 - 2 = 4 - 2$
$\sqrt{x + 1} = 2$

2. To get rid of the square root, square both sides.

${\left(\sqrt{x + 1}\right)}^{2} = {2}^{2}$
$x + 1 = 4$

3. Subtract 1 from both sides to find x.

$x + 1 - 1 = 4 - 1$
$x = 3$

Now that we know that x = 3, check the solution by plugging its value back into the original equation.

$\sqrt{3 + 1} + 2 = 4$
$\sqrt{4} + 2 = 4$
$2 + 2 = 4$
$4 = 4$

The solution, x = 3, works!